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Finding the Fourth Proportional to 287.99, 394.83 and 282.80

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Solution

The fourth proportional to 287.99, 394.83 and 282.80 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.99 : 394.83 = 282.80 : x
  2. Step 2: Convert to fraction form
    287.99/394.83 = 282.80/x
  3. Step 3: Cross multiply
    287.99x = 394.83 × 282.80
  4. Step 4: Simplify right side
    287.99x = 111,657.92
  5. Step 5: Solve for x
    x = 111,657.92/287.99
  6. Step 6: Final answer
    x = 387.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.